Find the distance from the point A to the line through the points B and C where A, B, d C have the following coordinates: (3, 0, 4), (-1, 4, 1) and (2, 1,0).

Q: Find the distance from the point (3,-1, 4) to the line z -2+3t, y = -2t, z = 1+ 4t.

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Q: find the distance from the point (2,5) to the line y=2x.

A: Refer  to the question,The distance from a point to the line is the shortest distance between the…

Q: Find the distance from the point to the line. Knowing that the point Po (2, 1, 3), x= 2+2t, y= 1+6t…

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Q: 2. Find the distance between the point (3,-1,1) and the line going through the points (1,2,3) and…

A: In this question we will use basic of geometry i.e concept of line in 3d. We will simply find the…

Q: Find the distance between the points (3, - 6) and (1, 0).

A: The given two points are 3,-6 and 1,0 Using the distance formula, the distance between two points…

Q: the distance from the point (5,3) to the line 2x+4y+5=0 is

A: solution

Q: Find the distance between the point P(-2,4) and the line 3x-4y 12

A: Find the distance from the point P (–2, 4) to the line 3x – 4y = 12.

Q: Find the distance between the two Y(2, 0), P(2, 6)

A: to find distance between two points  Y2,0 and P2,6

Q: Find the line L, that passes through the point P(-2,2) and perpendicular to the line L2: 2x+y=4.

A: We need to find equation of line L1 passing through (-2,2) and perpendicular to line L2 : 2x+y=4

Q: Find the point on the line 6x + y = 6 that is closest to the point (-4, 1). (x, y) = %3D

A: We have to find a point on the line 6x + y = 6 that is closest to the point (-4,1). Concept Used -…

Q: Find the distance from the point to the given line x 1+t, y= 3-2 2t, z=4- 3t and point (4,1,-2)

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Q: find the distance from the point to the line. (3, -1, 4); x = 4 - t, y = 3 + 2t, z = -5 + 3t

A: Given Data The points is 3,-1,4. x=4-t. y=3+2t. z=-5+3t.   The line is passes through the points of…

Q: 11. X(3, 2), Y(3, -12) 12. A(-4, -2), В(4, - 1)

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Q: Find the distance from the point (- 2, – 8, – 6) to the line a(t) (5, 3, 2)t + (– 6, 6, – 5). |

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Q: Plot each pair of points and compute the distance between them: (1, 4) and (3, 2)

A: Here given points  x1, y1=1, 4, x2, y2=3, 2 Use the distance formula between two points…

Q: Find the distance from the point to the line. Knowing that the point Po (2, 1, 3), x= 2+2t, y= 1+6t,…

A: The distance of a point P from a line passing through the point Q and parallel to the vector v→ is…

Q: Find the distance from the point (-2,2,-1) to the line a(t) = (- 2, 3, 2)t + (8, 0, - 7).

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Q: Find the distance from the point (3, 9) to the line y = 2x.

A: To find the distance from the point (3, 9) to the line y = 2x.Observe that the slope of the given…

Q: Find | x²z ds, where C is the line segment C from (0,-3,2) to (-3,-2,8)

A: Given C is the line segment from (0,-3,2) to (-3,-2,8) Now write the parametric equation for C…

Q: Find the distance between points A (-2,6) and B (4,-3)

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Q: Find distance from the point (0, 1, 3) to the line = 2t, y = 6–2t, z = 3+t

A: (0,1,3)    L=x=2t, y=6-2t, z=3+t

Q: Find the distance from the point (4, 21) to the line y = 5x

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Q: Find the point on the line 3x + y= 9 that Is closest to the point (-5, 1). (x, Y) - (

A: According to question given that Line 3x+y=9, closest to the point (-5,1)We have to calculate the…

Q: find the distance from the point to the line. (2, 1, -1); x = 2t, y = 1 + 2t, z = 2t

A: We have to find distance from the point 2,1,-1 to the line x=2t, y=1+2t, z=2t

Q: Find the distance from the point (3, 5, 1) to the line æ = = 0, y = 5 + 2t, z = 1+ 3t.

A: Given line x=0, y=5+2t, z=1+3t Therefore line passing through the point (0,5,1) and direction ratio…

Q: Find the distance between the point (-1, 5, 3) and the line given by x = 5 + t, y = 1 - 2t, and z =…

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Q: The line perpendicular to y=-x+1, passing through the point (–4, 2)

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Q: Find the distance from the point (3,-1, 4) to the line a = 4 – t, y = 3 + 2t, z = -5+ 3t.

A: Given: point 3,-1,4 and equation of line x=4-t, y=3+2t, z=-5+3t Formula: The distance between point…

Q: Find the distance from the point (-6,-2,0) to the line a(t) = ( – 1, – 2, – 5)t + (3, – 6, 6)

A: We  use the definitions

Q: Find the distance from the point to the line.   (−4,4,−1)​; x=-3+3t, y=-1+t, z=1+2t   The distance…

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Q: Find | xz ds, where C is the line segment from (0,0,-6) to (-5,5,-7)

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Q: find the distance from A(4, 6, -3) to the line x = 3t + 1, y = -t + 3, z = 6t

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Q: Find the distance from the point to the given line x =1+t, y= 3-2 2t, z=4- 3t and point (4,1,-2)

A: To find  The distance from the point to the given line.

Q: Find the distance from the Point to the given line X- 1+t, y- 3-2t, z-4-3t and point 6. (4,1,-2)

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Q: find the distance between the Linel L) through A(I,0,-1), B (-1,)andthe Line (L2) through C…

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Q: Find the distance of the point (6, – 3) from the line 2x – y+4=0.

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Q: What is the distance between the points M(-3,1) and N(7,-3)?

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Q: Find the distance from the point (3, 2, 5) to the line 0, y = 2+ 2t, z = 5 + 2t.

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Q: Find the distance from the point to the line. Knowing that the point Po (2, 1, 3), x= 2+2t, y= 1+6t…

A: This question is based on distance between point and line in 3d geometry.

Q: Find the distance between points P1(0, 0, 0) and P2(-6,-2,5).

A: Distance = x2-x1+Y2-Y1+z2-z1

Q: Find the distance from the point (2, 1, 3) to the line x = 2 + 2t, y = 1 + 6t, z = 3

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Q: Find the distance from the point (-2,2,-1) to the line ä(t) = (- 2,3, 2)t + (8,0, – 7).

A: the given point is (-2, 2, -1) the line equation is a→(t) = <-2, 3, 2>t + <8, 0, -7>

Q: Find the line L passes through the point (-2,2) and perpendicular to the line L`: 2x +y = 4.

A: Given, The line L passes through the point -2, 2 and perpendicular to the line 2x+y = 4    We have…

Q: Find 1x²z ds, where C is the line segment C from (0,-3,-5) to (2,1,-5)

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Q: Find xz ds, where C is the line segment from (0,-2,4) to (0,-6,1).

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Q: Find the distance from the point (3, 1,0) to the line given by symmetric equations *** =-3, y= 1.

A: Given that: The point is: (3, -1, 0) and equation of line is:         x+42=z-3, y=1

Q: Plot each pair of points and compute the distance between them:(a) (1, 4) and (3, 2) (b) (2, 1) and…

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Q: Find the distance between the points (3, 0) and (-1, -2).

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Q: Find the distance from the point (2, 2, 3) to the line x = 0, y = 2+ 5t, z = 3+ 3t.

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.